Short Ans:

1) Fifty households in a particular neighborhood will file federal income tax returns, and 5 will be fraudulent. If the federal revenue commissioner selects 10 tax returns for detailed auditing, determine the probability that exactly 2 fraudulent tax returns will be detected.

2) How does the shape of the binomial probability distribution change as the probability varies from 0.0 to 1.0?

3) How might different types of survey errors be reduced (provided they are not intentionally or unethically introduced into the sampling process)? Address coverage, non-response, sampling and measurement errors.